Answer: 147, 76 and 56.5
Step-by-step explanation:
11, and 12
Both of these questions require that you find the sum of both angles, and you know this because an angle written down starts with an outside point, a middle point then another outside point. So n, the left side, p the middle, and q, the outside. You add everything in between, the 78 and 68, and you get 147.
13
13 is different because a straight line is equal to 180 degrees, we know this because a full circle is 360 degrees and you split in in half with a straight line going through the center and you get 180 degrees on each side, so with this one you just take 180 - 23.5, and you get 56.5!
Answer:
48 x 3 units
Step-by-step explanation:
6 x 8 is 48
48 x height
Height is 3 units
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
Answer:
(2x+1)(2x2+3)
Step-by-step explanation:
Factor 4x3+2x2+6x+3
4x3+2x2+6x+3
=(2x+1)(2x2+3)
